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2137389005 = 51725145753
BaseRepresentation
bin111111101100101…
…1111011111001101
312111221212121111202
41333121133133031
513334132422010
6552031355245
7103652335553
oct17731373715
95457777452
102137389005
119a7555aa4
124b7982b25
13280a7c12b
14163c1dbd3
15c79a06a5
hex7f65f7cd

2137389005 has 8 divisors (see below), whose sum is σ = 2715741432. Its totient is φ = 1609328128.

The previous prime is 2137388987. The next prime is 2137389017. The reversal of 2137389005 is 5009837312.

It can be written as a sum of positive squares in 4 ways, for example, as 205434889 + 1931954116 = 14333^2 + 43954^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2137389005 - 210 = 2137387981 is a prime.

It is a super-3 number, since 3×21373890053 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2137389005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12572792 + ... + 12572961.

It is an arithmetic number, because the mean of its divisors is an integer number (339467679).

Almost surely, 22137389005 is an apocalyptic number.

It is an amenable number.

2137389005 is a deficient number, since it is larger than the sum of its proper divisors (578352427).

2137389005 is a wasteful number, since it uses less digits than its factorization.

2137389005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25145775.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 2137389005 is about 46231.9046222411. The cubic root of 2137389005 is about 1288.1344355533.

The spelling of 2137389005 in words is "two billion, one hundred thirty-seven million, three hundred eighty-nine thousand, five".

Divisors: 1 5 17 85 25145753 125728765 427477801 2137389005